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This monograph examines multidimensional stability of strong discontinuities (e.g. shock waves) for systems of conservation laws and surveys the author's results for models of ideal magnetohydrodynamics (classical, 'pressure anisotropic', relativistic) and electrohydrodynamics. The primary attention is concentrated on linearised stability analysis, especially on the issue of uniform stability in the sense of the uniform Kreiss-Lopatinski condition. A so-called 'equational' approach based on obtaining, by the dissipative integrals technique, a priori estimates without loss of smoothness for...

This book is a multidisciplinary book in which the problem on hypertensive disease is analysed from different points of view by physicists, mathematicians, biologists. Topics discussed include a review on genetic and physiological mechanisms of arterial hypertension; descriptions of various approaches to mathematical modelling of the system for controlling blood circulation and blood flow in a vessel; a survey existing models of hemodynamics and description of an approach to numerical modelling of the blood flow in the human cardiovascular system; and a software developed for visual creation...